137442899900416
137,442,899,900,416 is an even composite number composed of six prime numbers multiplied together.
137442899900416 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137442899900416:
211 × 11 × 19 × 43 × 53 × 140897
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 19 × 43 × 53 × 140897)See below for interesting mathematical facts about the number 137442899900416 from the Numbermatics database.
Names of 137442899900416
- Cardinal: 137442899900416 can be written as One hundred thirty-seven trillion, four hundred forty-two billion, eight hundred ninety-nine million, nine hundred thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.37442899900416 × 1014
Factors of 137442899900416
Divisors of 137442899900416
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 4 8 11 16 19 22 32 38 43 44 53 64 76 86 88 106 128 152 172 176 209 212 256 304 344 352 418 424 473 512 583 608 688 704 817 836 848 946 1007 1024 1166 1216 1376 1408 1634 1672 1696 1892 2014 2048 2279 2332 2432 2752 2816 3268 3344 3392 3784 4028 4558 4664 4864 5504 5632 6536 6688 6784 7568 8056 8987 9116 9328 9728 11008 11077 11264 13072 13376 13568 15136 16112 17974 18232 18656 19456 22016 22154 22528 25069 26144 26752 27136 30272 32224 35948 36464 37312 38912 43301 44032 44308 50138 52288 53504 54272 60544 64448 71896 72928 74624 86602 88064 88616 100276 104576 107008 108544 121088 128896 140897 143792 145856 149248 173204 177232 200552 209152 214016 242176 257792 281794 287584 291712 298496 346408 354464 401104 418304 428032 476311 484352 515584 563588 575168 583424 596992 692816 708928 802208 836608 952622 968704 1031168 1127176 1150336 1166848 1193984 1385632 1417856 1549867 1604416 1673216 1905244 2062336 2254352 2300672 2333696 2677043 2771264 2835712 3099734 3208832 3810488 4508704 4601344 4667392 5354086 5542528 5671424 6058571 6199468 6417664 7467541 7620976 9017408 9202688 10708172 11085056 11342848 12117142 12398936 12835328 14935082 15241952 18034816 18405376 21416344 22170112 22685696 24234284 24797872 25670656 29447473 29870164 30483904 36069632 42832688 44340224 48468568 49595744 51341312 58894946 59740328 60967808 66644281 72139264 82142951 85665376 88680448 96937136 99191488 115112849 117789892 119480656 121935616 133288562 141883279 144278528 164285902 171330752 193874272 198382976 230225698 235579784 238961312 243871232 266577124 283766558 288557056 321104263 328571804 342661504 387748544 396765952 460451396 471159568 477922624 487742464 533154248 567533116 642208526 657143608 685323008 775497088 793531904 920902792 942319136 955845248 975484928 1066308496 1135066232 1266241339 1284417052 1314287216 1370646016 1550994176 1560716069 1587063808 1841805584 1884638272 1911690496 2132616992 2270132464 2532482678 2568834104 2628574432 2741292032 3101988352 3121432138 3174127616 3532146893 3683611168 3769276544 3823380992 4265233984 4540264928 5064965356 5137668208 5257148864 5482584064 6100980997 6203976704 6242864276 7064293786 7367222336 7538553088 7646761984 8530467968 9080529856 10129930712 10275336416 10514297728 12201961994 12407953408 12485728552 14128587572 14734444672 15077106176 15293523968 17060935936 18161059712 20259861424 20550672832 21028595456 24403923988 24971457104 28257175144 29468889344 30154212352 34121871872 36322119424 40519722848 41101345664 42057190912 48807847976 49942914208 56514350288 58937778688 60308424704 67110790967 68243743744 72644238848 81039445696 82202691328 84114381824 97615695952 99885828416 113028700576 117875557376 134221581934 136487487488 145288477696 162078891392 164405382656 168228763648 195231391904 199771656832 226057401152 235751114752 268443163868 290576955392 324157782784 328810765312 390462783808 399543313664 452114802304 536886327736 648315565568 657621530624 780925567616 799086627328 904229604608 1073772655472 1296631131136 1561851135232 1598173254656 1808459209216 2147545310944 2593262262272 3123702270464 3196346509312 3616918418432 4295090621888 6247404540928 7233836836864 8590181243776 12494809081856 17180362487552 34360724975104 68721449950208 137442899900416
- Sum of all divisors σ(n): 329015541254400
- Sum of proper divisors (its aliquot sum) s(n): 191572641353984
- 137442899900416 is an abundant number, because the sum of its proper divisors (191572641353984) is greater than itself. Its abundance is 54129741453568
Bases of 137442899900416
- Binary: 111110100000000111010110011100110111000000000002
- Hexadecimal: 0x7D00EB39B800
- Base-36: 1CPWE9XHJ4
Squares and roots of 137442899900416
- 137442899900416 squared (1374428999004162) is 18890550733035772502716973056
- 137442899900416 cubed (1374428999004163) is 2596372073464365772315044287127935355191296
-
The
square root of 137442899900416 is 11723604.3903065923 -
The
cube root of 137442899900416 is 51606.8601414887
Scales and comparisons
How big is 137442899900416?- 137,442,899,900,416 seconds is equal to 4,370,259 years, 4 weeks, 9 hours, 40 minutes, 16 seconds.
-
To count from 1 to 137,442,899,900,416 would take you about ten million, nine hundred twenty-five thousand, six hundred forty-seven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137442899900416 cubic inches would be around 4300.6 feet tall.
Recreational maths with 137442899900416
- 137442899900416 backwards is 614009998244731
- The number of decimal digits it has is: 15
- The sum of 137442899900416's digits is 67
- More coming soon!
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